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Zack Greinke #23 of the Los Angeles Angels of Anaheim pitches against the Seattle Mariners at Angel Stadium of Anaheim on September 25, 2012 in Anaheim, California. (Photo by Jeff Gross/Getty Images)

NASHVILLE, Tenn. (CBS SPORTS) – The Zack Greinke derby is currently between the Dodgers and Rangers, with a great likelihood that one of those teams will win the services of the top free-agent pitcher in the market, people close to the situation say.

The Dodgers have been viewed as a fairly clear favorite for Greinke, but Texas is showing signs of determination, according to major-league sources.

The Dodgers are seen as having an almost unlimited payroll, but people familiar with the happenings now suggest the derby could go either way. Not many teams could hope to go dollar-for-dollar against the Dodgers, but the Rangers are trying to do just that.

The bidding is said by major-league officials to be “quite high” now, with two people pegging the dollar amount at about $160 million. And that’s with the deal not done yet. There seems an extreme likelhood now that Greinke will not only set a record for righthanded pitcher but for any pitcher, which is currently held by CC Sabathia, who signed for $161 million and seven years with the Yankees.

Some have suggested they could even see the Greinke deal reaching toward the $175-million mark.

Greinke’s representatives are said not to have named a likely timetable, so people on both teams anxiously await the verdict.